On guarantees, vetoes, and random dictators

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-01-01 DOI:10.3982/te4832

Anna Bogomolnaia, R. Holzman, H. Moulin

引用次数: 1

Abstract

A mechanism guarantees a certain welfare level to its agents, if each of them can secure that level against unanimously adversarial others. How high can such a guarantee be, and what type of mechanism achieves it? In the n‐person probabilistic voting/bargaining model with p deterministic outcomes a guarantee takes the form of a probability distribution over the ranks from 1 to p. If n ≥ p, the uniform lottery is shown to be the only maximal (unimprovable) guarantee. If n < p, combining (variants of) the familiar random dictator and voting by veto mechanisms yields a large family of maximal guarantees: it is exhaustive if n = 2 and almost so if p ≤ 2 n. Voting rules à la Condorcet or Borda, even in probabilistic form, are ruled out by our worst case viewpoint.

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关于保证、否决和随意的独裁者

一种机制保证了它的代理人享有一定的福利水平，前提是他们中的每一个人都能在对抗其他一致敌对的人时获得这一福利水平。这样的保证能有多高，什么样的机制能实现?在具有p个确定性结果的n人概率投票/议价模型中，保证采用从1到p的概率分布形式。如果n≥p，则均匀彩票被证明是唯一的最大(不可改进)保证。如果n < p，将熟悉的随机独裁者的(变体)与否决机制的投票相结合，就会产生大量的最大保证:如果n = 2，它是详尽的，如果p≤2n，它几乎是详尽的。投票规则如la Condorcet或Borda，即使是概率形式，也被我们的最坏情况观点所排除。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.